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Question
question
what is the product of 1.4 × 10⁵ and 2.7 × 10⁴ expressed in scientific notation?
answer attempt 1 out of 2
answer:
×10□
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Step1: Multiply the coefficients
Multiply \(1.4\) and \(2.7\).
\(1.4\times2.7 = 3.78\)
Step2: Add the exponents of 10
For \(10^{5}\) and \(10^{4}\), use the rule \(a^{m}\times a^{n}=a^{m + n}\).
\(10^{5}\times10^{4}=10^{5 + 4}=10^{9}\)
Step3: Combine the results
Multiply the result from Step1 and Step2.
\(3.78\times10^{9}\)
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\(3.78\times 10^{9}\) (So the first box is \(3.78\) and the second box is \(9\))